Football weights:
The Sears Cup was established in 1993 to honor institutions that maintain a broad-based athletic program, achieving success in many sports, both men's and women's. Since its Division III inception in 1995, the cup has been won by Williams College in every year except one. Their football team has a 85.3% winning record under their current coach. Why does the football team win so much? Is it because they're heavier than their opponents? The table shows the average team weights for selected years from 1973 to 1993.
| Year |
Weight (lb) |
Year |
Weight (lb) |
| 1973 |
185.5 |
1983 |
192 |
| 1975 |
182.4 |
1987 |
196.9 |
| 1977 |
182.1 |
1989 |
202.9 |
| 1979 |
191.1 |
1991 |
206 |
| 1981 |
189.4 |
1993 |
198.7 |
a) Fit a straight line to the relationship between Weight and Year.
b) Does a straight line seem reasonable?
c) Predict the average weight of the team for the year 2003. Does this seem reasonable?
d) What about the prediction for the year 2103? Explain.
e) What about the prediction for the year 3003? Explain.